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Assignment 7: Problem 1 (1 point) You have information to suggest that a certain continuous variable of a population has a mean of p = 11.77 and a standard deviation of a = 6.65. You are to randomly pick n = 61 individuals from this population and observe the value of the population variable on each . This value is to measured as Xi. After the random sample of n = 61 has been taken. you are asked to consider the behavior of the statistic E. (a) Complete the statement below. Use as many decimals as you can. The distribution of f is approximately Normal 6 with a mean \"X = E and a standard deviation ox = (b) Find the probability that mean of the sample of n = 61 is between 11.27 and 12.07. Use at least four decimals in your z-values, and enter your answer to at least four decimals